Given the parallelogram where RD = x + 13 and DT = 3x – 3, solve for x. - S. O 10 O 8 12 O 6

Q: Find the general solution to the given Euler equation. Assume x > 0 4x2y" + y = 0

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Q: y(6) – 4y(5) +3y/9) =-27 %3D

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Q: Use Euler's method to approximate the solution to y' = y + 2t , y(-1) = -1 on the interval [-1, 1]…

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Q: Find the general solution usinh linear or bernoulli’s equation: θdr + (2r +1 - θr) dθ= 0

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Q: Use method of variation of paramaters (VOP) to solve the following equation. what is the…

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Q: Uk+2(x) – 3k. dx duk+1(x) d²uk + 2k(k – 1) 0, (8.295) dx2 has, in the x variable, the structure of a…

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Q: Solve this differentlal equation: dy 0.13y(1- dt 400 y(0) 5 yu-- e (400-) syntax error: you gave an…

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Q: 1) Using Modified Euler's method, solve y'= xy2 + y given yo) = 1 if h= 0.1 to obtain y(0.1), y(0.2)…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Use the explicit Euler method to plot the  estimate y(2) if y(t) is the solution to y' = t - y3 with…

A: Given IVP is y'=t-y3, y(0)=1 we have  f(t,y)=t-y3 Here using n=10 steps, Then step size h=upper…

Q: дz For z = x² + xy³; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 dv

A: Let's solve given derivative functions.

Q: 2²y" - 4.xy+6y= 0, y(2)=0, y'(2) = 4 %3D

A: The differential equation is given as x2y''-4xy'+6y=0x2D2y-4xDy+6y=0x2D2-4xD+6y=0 It is a Cauchy…

Q: 1. (3x – 2y + 1) dx + (3x- 2y +3) dy = 0, %3D Ans. 5(x + y+ c) = 2 In | 15x - 10y + 11L

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Q: 2. Solve the DE, using the homogeneous method. (a) Hint: Rewrite the RHS as 4 - (2)-1

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Q: find the general solution to the given Euler equation.Assume x > 0 throughout. x2y'' + xy' - y =…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 5. Find the particular solution of D' + 3D° + 2D° ]y=0 provided that when x = 0, y = 0, y' = 4, y" =…

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Q: Consider the Cauchy-Euler equation r*y" – 5xy + 9y =r+x* In(x), r > 0. Solve the equation by first…

A: In Cauchy Euler equation: Substitution is used in which we take x=ez. Transform the differential…

Q: 2. Compute the true solution to the problem Y'(t) = -e-tY(t), Y(0) = 1. %3D Using Euler's method,…

A: Given that, y't=-e-t yt, y0=1. Step sizes, h=0.2, 0.1, 0.05.

Q: Find the general solution using The Linear Equation of the Order One (Complete solution Pls) 1.…

A: As per guideline we have to solve one question Please repost other question again We have to solve…

Q: Consider the DE y'=(5x+y+7)^2,y(0)=1 Solve it numerically using Euler’s method (n=4) to estimate…

A: Given that, y'=5x+y+72, y0=1 That is x0=0, y0=1 And n=4. To find y1

Q: 2 11 3. x*y" – 5xy'+9y= 2x

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Q: 4. Solve the IVP: d?s t3, dt2 A. 20s = t5 + 200t – 100 B. 20s = t5 – 200t + 100 s(0) = 5,s'(0) = 10…

A: Given IVPd2sdt2=t3, s0=5, s'0=10sinced2sdt2=t3on integrating

Q: (2х — Зу)dx + (2у - 3х)dy %3D0

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Q: Find a general solution to the given Cauchy-Euler equation for t>0. dy + 2t- - 20y = 0 dr? dt The…

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Q: Use the Gaussian Elimination method to solve: 1x + 2y +3z = 14 2x + 1y +3z = 13 2x + 3y + 1z = 11…

A: The given equations are: 1x+2y+3z=142x+1y+3z=132x+3y+1z=11 We need to solve the given system of…

Q: 5. = y – xy³e-2x у —

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Q: dz (D² + 16)³(D² + 4D – 5)²(D² + 2D – 3)4z = 0, Dz = dx

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Q: Use jacobi method to find approximate solutions to 20x+2y+3z=25 3x+10y-4z=9 2x-y+5z+6 starting the…

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Q: fip + P(x)y= Q(x)y". dr Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other…

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Q: Solve by the addition method: 4x+5y+: 12 %3D 3D 2x-y+2: = 17 %3D x+2y+2= O A. (2, –1, 9) O B. (4,…

A: Given: The system if linear equation as  4x+5y+z=122x-y+2z=17x+2y+2z=11 To find: The solution of…

Q: Solue the following system. - 2 x, - 5x2 - cost a) by using the method of dt voriotion of prometers.…

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Q: Do 2 steps using the improved Euler method. Solve the problem exactly. Compute the error. y'- xy2 =…

A: Consider the given differential equation.

Q: 5 solve the 1UP: y% 4y(2)+ 3y'= Y1)=e+ % ,uG) = et %

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Q: Use Euler method, dy 1 = 0.5 and the actu al solution is y(x) =re - 5 1. reš – 2y, 0<r<1, y(0) = 0…

A: According to the given function, the range of the variable x is in between 0 to 1 and the step…

Q: Use Gaussian Eleminetion to solve 20+ y + 2Z =8 3y + 3Z a-4 4¢ + 24 - Z = Iv

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Q: 3- Use Euler Method to find value of Y(1.6) when Y(1) = 0 for %3D (x2 + y2)dx = (x + y)dy, use h =…

A: The solution is given as

Q: y' = e2/y, y(0) = 1, 0 st< 2, h = 0.5 %3D

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Q: 1. Determine the values of the variables to satisfy the equation using Jacobi. 5a - 2b = 40 Ans. a =…

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Q: 3. A sailboat travels 12 km [W37°N], 18 km [E22°N] and finally 2.0 x 10' km [E15°S]. Use the…

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Q: Find a general solution to the DEQ w" + 4w = sec*(2t)

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Q: Find the particular solution determined by the initial condition. ds 17t +7t-6, s(0)= 86 dt %3D The…

A: The given differential equation is ; ds/dt = 17t2+7t-6, s(0)=86

Q: Solve the IVP. Show the steps of derivation, beginning with the general solution. 14. dr/dt = -2tr,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The Euler method for approximating a solution to the first order IVP: y' = 2? – y, y(1) = is Yn+1 =…

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Q: Given: [(4x + 3)²D² - 12(4x + 3)D +64]y = 16[(4x + 3)² sec² (In 4x +31)], what special case is this?…

A: Given 4x+32Dx2-124x+3Dx+64]y=164x+32 sec2ln4x+3 what special case is this? (A) Cauchy-Euler Equation…

Q: Solve for the Bernoulli's equation -- ses 2ds = 5t³s3 .33 %3D dt

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Q: Solve for the homogeneous linear equation given below 1. xydy- (x + 2y)² dy = 0 O-In ()-4lny = C…

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Q: A third-order Euler equation is one of the form ax°y"' + bx-y" + cxy' + ky = 0, where a, b, c, and k…

A: Givenax3y"' +bx2y" +cxy' +ky=0 ----1after subsitution V =lnx Transformed into constant coefficient a…

Q: d²y dy 7t- + 5y = t2 – 2 dt PVI = dt2 dy y(1) = 2; (1) = 1 dt

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Q: 1) Using Modified Euler's method, solve y' xy2 +y given yo) 1 if h=0.1 to obtain y(o.1) Y(0.2) %3D

A: According to our Company Guideline we must do only one question in case more than one question is…

Q: 3. Find the general solution of the Bernoulli's Equation. y = 5.4y – 12y, y(0) = 1. %3D

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.